Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 311: 68


The graph will change because now (replacing -3 with 4): As x increases, y increases Greater magnitude of rate of change (replacing 2 with 0): The y-intercept would be 0 The graph would intersect the origin

Work Step by Step

As x increases on the graph of y=-3x+2 y decreases, because the slope is negative. If the slope is changed from -3 to 4, as a result of changing the slope from negative to positive, now, as x increases, y will increase. The y values on the graph with a slope of 4 will increase faster than the y values on the graph with a slope of -3 as x increases because the magnitude of the slope is greater (4$\gt$3). The graph would change if 2 was replaced by 0, because the y-intercept would be 0. In other words, the graph would intersect the origin, or the point (0,0). Also, the whole graph would be translated down two units.
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